A Function is said to be linear if it satisfies"
f(αx+βy)=αf(x)+βf(y)f(\alpha x + \beta y) = \alpha f(x) + \beta f(y)f(αx+βy)=αf(x)+βf(y)
for all x,y∈Rnx, y \in \mathbf{R}^nx,y∈Rn and all α,β∈R\alpha, \beta \in \mathbf{R}α,β∈R.